EL-9600 Graphing Calculator

Linear Transformation

Use the matrix to find four types of the linear transformation of x-axis symmetric transformation, y-axis symmetric transformation, similar transformation and revolution around the origin.

Calculation

1.Symmetric transformation to x-axis (Case 1)

(X'Y') = (10 -01 ) ( XY )

2.Symmetric transformation to y-axis (Case 2)

(X'Y') = (-01 10 ) ( XY )

3.Similar transformation with ratio of similitude K around origin (Case 3)

(X'Y') = (K0 K0 ) ( XY )

4.Transformation revolving around only angle B at the origin (Case 4)

X'

cos B

-sin B X

(Y') = (sin B

cos B ) ( Y )

FLOWCHART

 

PROGRAMME LIST

 

 

(MATRIX MODE)

 

 

 

Start

Array declaration

Entry of coordinates (X,Y)

TYPE

Entry of type

s = 1

Y

 

To label XSYMMETRY

 

 

 

 

 

 

 

N

Y

 

 

 

 

 

s = 2

 

To label YSYMMETRY

 

 

 

 

 

N

Y

 

 

 

 

 

s = 3

 

To label SYMRATIO

 

 

 

 

 

N

Y

 

 

 

 

 

s = 4

 

 

To label ROTATE

 

 

 

 

 

 

N

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Label XSYMMETRY

 

 

Label YSYMMETRY

 

 

 

 

 

 

 

Transformation data set

 

 

Transformation data set

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Label SIMRATIO

 

 

Label ROTATE

 

 

 

 

 

 

 

Entry of ratio of similitude

 

 

Entry of angle

 

 

 

 

 

 

Data set of transformation

 

 

Data set of transformation

 

Coordinate transformation

Display of coordinates after transformation

End

Declare array size, etc. matH(2,2), matD(2,1), matA(2,1)

Enter coordinates before transformation.

Type of transformation specified with no from 1 to 4.

Jumps to destination corresponding to entered number.

XSYMMETRY

Data set of x-axis symmetric transformation matH(1,1) = 1, matH(1,2) = 0, matH(2,1) = 0, matH(2,2) = -1

YSYMMETRY

Data set of y-axis symmetric transformation matH(1,1) = -1, matH(1,2) = 0, matH(2,1) = 0, matH(2,2) = 1

SIMRATIO

Data set of similar transformation Entry of ratio of similitude (R)

matH(1,1) = K, matH(1,2) = 0, matH(2,1) = 0, matH(2,2) = θ

Data set of transformation by revolving Entry of angle (A)

matH(1,1) = cos B, matH(2,1) = sin B, matH(1,2) = -sin B, matH(2,2) = cos B,

Matrix H multiplied by matrix D.

Coordinates displayed.

Title : LINE TRNS

{2, 2} dim(mat H) {2, 1} dim(mat D) {2, 1} dim(mat A) Print "Input POINT Input X

Input Y

Xmat D(1, 1)

Ymat D(2, 1) Label TYPE

Print "SELECT 1/2/3/4 Input S

ClrT

If S=1 Goto XSYMMETRY If S=2 Goto YSYMMETRY If S=3 Goto SIMRATIO

If S=4 Goto ROTATE GotoTYPE

Label XSYMMETRY 1 mat H(1, 1)

0 mat H(2, 1)

0 mat H(1, 2) -1 mat H(2, 2) Goto TRANS Label YSYMMETRY -1 mat H(1, 1)

0 mat H(2, 1)

0 mat H(1, 2)

1 mat H(2, 2) Goto TRANS Label SIMRATIO

Print "Input SIMILITUDE RATIO Input R

RK

Kmat H(1, 1)

0 mat H(2, 1)

0 mat H(1, 2) θ mat H(2, 2) Goto TRANS Label ROTATE Print "Input ANGLE Input A

AB

cos B mat H(1, 1) sin B mat H(2, 1) -sin B mat H(1, 2) cos B mat H(2, 2) Label TRANS

mat Hmat D mat A Print "mat A(1, 1) Print mat A(1, 1) Print "mat A(2, 1) Print mat A(2, 1)

End

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Sharp EL-9600, EL-9400 manual Start Array declaration Entry of coordinates X,Y, Entry of type, Label Simratio Label Rotate
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EL-9600, EL-9400 specifications

The Sharp EL-9400 and EL-9450 are advanced programmable scientific calculators designed for professionals and students alike. Renowned for their versatile functionality and user-friendly interface, these calculators are popular in the fields of engineering, mathematics, and the sciences.

One of the hallmark features of the EL-9400 and EL-9450 is their extensive range of built-in functions. These calculators allow users to perform a variety of mathematical operations, including basic arithmetic, statistical calculations, complex number operations, and calculus functions. They support both decimal and fraction calculations, making them suitable for diverse mathematical applications.

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Overall, the Sharp EL-9400 and EL-9450 stand out as powerful tools for anyone needing a reliable computing resource. Their combination of programmable features, comprehensive function sets, and user-friendly design makes them invaluable assets for students and professionals engaged in advanced mathematics and scientific calculations. With these calculators, users are equipped to tackle challenges and explore complex mathematical concepts with confidence.
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